Answer:To find out how long it will take for the two trains to meet, you can use the concept of relative speed. When two objects are moving toward each other, their relative speed is the sum of their individual speeds.
In this case, one train is traveling at 85 miles per hour, and the other is traveling at 95 miles per hour. So, their relative speed is:
Relative Speed = 85 mph + 95 mph = 180 mph
Now that you know the relative speed of the two trains, you can use the formula:
Time = Distance / Speed
The distance they need to cover to meet is 288 miles, and their relative speed is 180 mph. Plug these values into the formula:
Time = 288 miles / 180 mph
Time = 1.6 hours
So, it will take 1.6 hours for the two trains to meet. To express this in minutes, you can multiply by 60:
1.6 hours * 60 minutes/hour = 96 minutes
Therefore, it will take 96 minutes for the two trains to meet.
Explanation: